New York (alias New York City, NYC, The Big Apple, or NY, NY) is a city in the Tri-State area (New York, New Jersey, and Connecticut). It's split in five boroughs; Manhattan, Brooklyn, Queens, Bronx, and Staten Island. It was also part of the 13 Original English Colonies and was settled in 1624.
378 years later, a cruise ship, S.S. Lazarus, which was to ferry Graduating students from the Crystal Lake area to New York had a stowaway, Jason Voorhees. Jason dispatched much of the graduates and presumably all of the crew aboard. A hand full of Survivors made it to Manhattan where Jason killed all but two until he was washed away in the NYC sewers below Time Square. Downtown of Manhattan, World Trade Center in the background of the picture.
By the year 2455 in the non canon future, it can be assumed that much like the rest of Earth, the city is in ruins.